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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#405452 | #7872. 崩坏天际线 | chenxinyang2006 | 100 ✓ | 151ms | 67332kb | C++14 | 7.9kb | 2024-05-05 23:00:41 | 2024-05-05 23:01:23 |
Judging History
answer
#include <bits/stdc++.h>
#define rep(i,j,k) for(int i=(j);i<=(k);i++)
#define per(i,j,k) for(int i=(j);i>=(k);i--)
#define uint unsigned int
#define ll long long
#define ull unsigned long long
#define db double
#define ldb long double
#define pii pair<int,int>
#define pll pair<ll,ll>
#define mkp make_pair
#define eb emplace_back
#define SZ(S) (int)S.size()
#define mod 998244353
//#define mod 1000000007
#define inf 0x3f3f3f3f
#define linf 0x3f3f3f3f3f3f3f3f
using namespace std;
template <class T>
void chkmax(T &x,T y){
if(x < y) x = y;
}
template <class T>
void chkmin(T &x,T y){
if(x > y) x = y;
}
inline int popcnt(int x){
return __builtin_popcount(x);
}
inline int ctz(int x){
return __builtin_ctz(x);
}
template <int P>
class mod_int
{
using Z = mod_int;
private:
static int mo(int x) { return x < 0 ? x + P : x; }
public:
int x;
int val() const { return x; }
mod_int() : x(0) {}
template <class T>
mod_int(const T &x_) : x(x_ >= 0 && x_ < P ? static_cast<int>(x_) : mo(static_cast<int>(x_ % P))) {}
bool operator==(const Z &rhs) const { return x == rhs.x; }
bool operator!=(const Z &rhs) const { return x != rhs.x; }
Z operator-() const { return Z(x ? P - x : 0); }
Z pow(long long k) const
{
Z res = 1, t = *this;
while (k)
{
if (k & 1)
res *= t;
if (k >>= 1)
t *= t;
}
return res;
}
Z &operator++()
{
x < P - 1 ? ++x : x = 0;
return *this;
}
Z &operator--()
{
x ? --x : x = P - 1;
return *this;
}
Z operator++(int)
{
Z ret = x;
x < P - 1 ? ++x : x = 0;
return ret;
}
Z operator--(int)
{
Z ret = x;
x ? --x : x = P - 1;
return ret;
}
Z inv() const { return pow(P - 2); }
Z &operator+=(const Z &rhs)
{
(x += rhs.x) >= P && (x -= P);
return *this;
}
Z &operator-=(const Z &rhs)
{
(x -= rhs.x) < 0 && (x += P);
return *this;
}
Z operator-()
{
return -x;
}
Z &operator*=(const Z &rhs)
{
x = 1ULL * x * rhs.x % P;
return *this;
}
Z &operator/=(const Z &rhs) { return *this *= rhs.inv(); }
#define setO(T, o) \
friend T operator o(const Z &lhs, const Z &rhs) \
{ \
Z res = lhs; \
return res o## = rhs; \
}
setO(Z, +) setO(Z, -) setO(Z, *) setO(Z, /)
#undef setO
friend istream& operator>>(istream& is, mod_int& x)
{
long long tmp;
is >> tmp;
x = tmp;
return is;
}
friend ostream& operator<<(ostream& os, const mod_int& x)
{
os << x.val();
return os;
}
};
using Z = mod_int<mod>;
Z power(Z p,ll k){
Z ans = 1;
while(k){
if(k % 2 == 1) ans *= p;
p *= p;
k /= 2;
}
return ans;
}
int n,m;
int _op[500005],_l[500005],_r[500005];
Z P[500005];
const Z i2 = Z(1) / 2;
struct seg{
int l,r;
Z w;
};
bool cmp2(seg p,seg q){
if(p.l != q.l) return p.l < q.l;
return p.r < q.r;
}
int k;
int a[500005],idx[500005],ls[500005],rs[500005];
vector <int> sta;
void ins(int p){
while(!sta.empty() && a[p] < a[sta.back()]){
ls[p] = sta.back();
sta.pop_back();
}
if(!sta.empty()) rs[sta.back()] = p;
sta.eb(p);
}
int N;
int pl[500005],pr[500005],fa[500005],ST[20][500005],dfn[500005],dep[500005],_dep[2][500005];//[0] 是作为左儿子的深度
inline int cmp(int x,int y){
if(dep[x] < dep[y]) return x;
return y;
}
inline int qry(int l,int r){
int x = __lg(r - l + 1);
return cmp(ST[x][l],ST[x][r - (1 << x) + 1]);
}
inline int LCA(int u,int v){
if(u == v) return u;
u = dfn[u];v = dfn[v];
if(u > v) swap(u,v);
return fa[qry(u + 1,v)];
}
Z val[3][500005];
void dfs(int u){//管辖区间 [pl,pr],事实上第一次作为左儿子一定是作为 pr 的左儿子,作为右儿子一定是作为 pl 的右儿子
dfn[u] = ++N;
ST[0][N] = u;
dep[u] = dep[fa[u]] + 1;
_dep[0][u] = _dep[0][pr[u]] + 1;
_dep[1][u] = _dep[1][pl[u]] + 1;
if(ls[u]){
pl[ls[u]] = pl[u];pr[ls[u]] = u;
fa[ls[u]] = u;
dfs(ls[u]);
}
if(rs[u]){
pl[rs[u]] = u;pr[rs[u]] = pr[u];
fa[rs[u]] = u;
dfs(rs[u]);
}
}
void dfs2(int u){
if(ls[u]) dfs2(ls[u]);
if(rs[u]) dfs2(rs[u]);
val[0][pr[u]] += 2 * val[0][u];//val[0] 是给右儿子的
val[1][pl[u]] += 2 * val[1][u];
}
vector <seg> temp;
void dfs3(int u){
if(ls[u]){
val[2][ls[u]] += i2 * (val[1][u] + val[2][u]);
dfs3(ls[u]);
}else{
temp.push_back({pl[u],u,i2 * (val[1][u] + val[2][u])});
}
if(rs[u]){
val[2][rs[u]] += i2 * (val[0][u] + val[2][u]);
dfs3(rs[u]);
}else{
temp.push_back({u,pr[u],i2 * (val[0][u] + val[2][u])});
}
val[0][u] = val[1][u] = val[2][u] = ls[u] = rs[u] = 0;
}
void solve(vector <seg> &ans){
rep(i,0,SZ(sta) - 2) rs[sta[i]] = sta[i + 1];
int rt = sta[0];sta.clear();
pl[rt] = 0;pr[rt] = n + 1;
/* printf("cdq\n");
for(seg I:ans) printf("[%d,%d] %d\n",I.l,I.r,I.w.val());
rep(i,1,k) printf("node %d ls %d rs %d\n",idx[i],ls[idx[i]],rs[idx[i]]);*/
N = 0;
dfs(rt);
rep(i,1,18){
rep(j,1,N){
if(j + (1 << i) - 1 > N) break;
ST[i][j] = cmp(ST[i - 1][j],ST[i - 1][j + (1 << (i - 1))]);
}
}
int u,v,d;
for(seg I:ans){
u = upper_bound(idx + 1,idx + k + 1,I.l) - idx;
v = lower_bound(idx + 1,idx + k + 1,I.r) - idx - 1;
if(u > v){
temp.push_back(I);
continue;
}
u = idx[u];v = idx[v];d = LCA(u,v);
val[0][u] += I.w * P[_dep[0][u] - _dep[0][d]];
val[0][d] -= I.w;
val[1][v] += I.w * P[_dep[1][v] - _dep[1][d]];
val[1][d] -= I.w;
temp.push_back({I.l,u,I.w * P[_dep[0][u] - _dep[0][d] + 1]});
temp.push_back({v,I.r,I.w * P[_dep[1][v] - _dep[1][d] + 1]});
}
dfs2(rt);
dfs3(rt);
ans = temp;
temp.clear();
// printf("res:\n");
// for(seg I:ans) printf("[%d,%d] %d\n",I.l,I.r,I.w.val());
}
vector <seg> solve(int ql,int qr){
vector <seg> ans,qwq;
if(ql == qr){
if(_op[ql] == 1) ans.push_back({_l[ql],_r[ql],1});
return ans;
}
int mid = (ql + qr) >> 1;
ans = solve(ql,mid);
k = 0;
rep(i,mid + 1,qr){
if(_op[i] == 2 && !a[_l[i]]){
idx[++k] = _l[i];
a[_l[i]] = i;
}
}
sort(idx + 1,idx + k + 1);
rep(i,1,k) ins(idx[i]);
if(!sta.empty()) solve(ans);
rep(i,mid + 1,qr) a[_l[i]] = 0;
qwq = solve(mid + 1,qr);
ans.insert(ans.begin(),qwq.begin(),qwq.end());
sort(ans.begin(),ans.end(),cmp2);
qwq.clear();
for(int l = 0,r;l < SZ(ans);l = r + 1){
r = l;
while(r + 1 < SZ(ans) && ans[r].l == ans[r + 1].l && ans[r].r == ans[r + 1].r){
r++;
ans[l].w += ans[r].w;
}
if(ans[l].l < ans[l].r && ans[l].w.val()) qwq.eb(ans[l]);
}
return qwq;
}
int main(){
// freopen("test.in","r",stdin);
// freopen("test.out","w",stdout);
scanf("%d%d",&n,&m);
P[0] = 1;
rep(i,1,m) P[i] = P[i - 1] * i2;
rep(i,1,m){
scanf("%d",&_op[i]);
if(_op[i] == 1){
scanf("%d%d",&_l[i],&_r[i]);
}else{
scanf("%d",&_l[i]);
}
}
vector <seg> res = solve(1,m);
Z output = 0;
for(seg I:res) output += I.w * (I.r - I.l);
printf("%d\n",output.val());
return 0;
}
详细
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 40012kb
input:
500 500 1 119 258 2 134 2 417 2 176 2 61 2 60 2 110 1 335 336 1 96 111 2 202 1 138 344 2 358 2 134 1 29 54 1 73 381 1 179 495 2 490 2 418 2 186 2 183 1 168 340 2 78 1 15 27 2 373 1 245 498 1 372 495 2 244 2 63 1 174 490 2 282 2 417 1 272 408 1 109 134 2 303 2 345 1 238 401 1 36 480 1 21 483 2 10 1 3...
output:
855279801
result:
ok single line: '855279801'
Test #2:
score: 10
Accepted
time: 0ms
memory: 41676kb
input:
495 466 1 35 393 2 236 1 4 335 2 455 1 36 470 1 23 61 2 195 2 109 2 451 1 282 491 2 238 2 117 2 468 1 2 60 1 439 487 2 238 1 209 294 2 321 2 309 1 113 183 2 409 2 87 2 130 2 124 2 176 2 448 2 379 1 181 446 2 146 2 450 1 171 423 2 355 2 332 1 123 387 1 151 269 1 17 417 2 122 1 324 494 1 265 439 2 225...
output:
294468977
result:
ok single line: '294468977'
Test #3:
score: 10
Accepted
time: 0ms
memory: 42692kb
input:
441 467 2 180 1 51 344 2 180 1 16 345 1 39 419 1 64 432 2 176 1 35 372 2 426 1 8 415 1 1 439 1 17 430 2 433 1 89 369 1 83 353 2 292 1 1 421 1 63 430 1 33 345 1 69 421 1 49 373 1 77 343 1 24 393 1 90 375 1 8 425 2 322 2 61 2 112 2 209 1 39 406 1 12 426 1 29 430 1 50 374 1 47 394 1 9 387 2 234 1 19 35...
output:
526117259
result:
ok single line: '526117259'
Test #4:
score: 10
Accepted
time: 0ms
memory: 44960kb
input:
500 500 2 442 1 12 414 1 40 435 2 138 1 79 448 1 16 464 2 163 1 94 492 2 97 2 335 1 7 452 1 25 474 1 78 442 2 286 1 93 430 1 78 438 2 469 2 354 2 270 2 292 2 108 2 301 1 100 480 2 258 1 17 487 2 2 2 409 2 385 2 338 1 83 454 1 41 490 1 95 475 1 43 442 1 66 445 2 406 2 168 1 10 406 2 330 2 20 1 90 491...
output:
810270061
result:
ok single line: '810270061'
Test #5:
score: 10
Accepted
time: 6ms
memory: 50460kb
input:
500 500 1 29 407 1 89 480 1 31 497 1 28 494 1 21 492 1 91 465 1 13 467 1 89 425 1 22 444 1 20 430 1 48 445 1 33 441 1 61 435 1 69 427 1 89 485 1 90 446 1 23 488 1 6 424 1 76 425 1 36 460 1 16 421 1 20 500 1 3 487 1 99 481 1 53 412 1 96 456 1 39 436 1 28 436 1 4 409 1 9 486 1 22 484 1 88 413 1 26 467...
output:
419428992
result:
ok single line: '419428992'
Test #6:
score: 10
Accepted
time: 0ms
memory: 45940kb
input:
500 500 1 85 442 1 20 473 1 10 441 1 31 426 1 95 478 1 60 454 1 54 491 1 97 464 1 14 443 1 88 474 1 28 462 1 97 410 1 99 496 1 96 493 1 62 479 1 12 466 1 64 471 1 43 490 1 50 411 1 85 448 1 48 433 1 30 456 1 39 462 1 46 409 1 63 494 1 39 409 1 36 436 1 27 463 1 37 498 1 69 464 1 8 441 1 99 436 1 84 ...
output:
519347055
result:
ok single line: '519347055'
Subtask #2:
score: 20
Accepted
Dependency #1:
100%
Accepted
Test #7:
score: 20
Accepted
time: 14ms
memory: 48292kb
input:
5000 5000 2 2254 2 4832 2 208 1 335 3080 2 481 1 527 3659 1 2645 3803 1 855 3544 2 3824 2 347 1 1567 4426 1 2184 4493 2 142 2 2451 1 995 4170 2 576 2 999 2 2726 1 278 3540 2 3218 1 922 3302 2 3253 2 4161 2 4505 1 4201 4534 1 1827 3540 2 3241 2 1909 2 2667 1 723 2453 2 3123 1 1017 4791 1 2953 3384 1 ...
output:
275175220
result:
ok single line: '275175220'
Test #8:
score: 20
Accepted
time: 11ms
memory: 49696kb
input:
4753 4704 1 589 2183 1 922 2210 2 2885 2 171 2 1597 2 3601 1 1906 4730 1 411 3615 2 1665 1 87 801 2 3525 2 2426 2 2723 1 323 4345 2 3950 2 460 2 4165 1 1156 2642 1 1490 3965 1 329 4081 1 1206 2077 2 4216 1 996 2254 2 2219 2 1035 2 4074 2 714 1 952 2726 2 3097 2 409 1 3320 4713 2 4061 1 1765 2040 1 2...
output:
840227126
result:
ok single line: '840227126'
Test #9:
score: 20
Accepted
time: 8ms
memory: 48472kb
input:
4141 4610 2 3761 2 2872 1 334 3247 1 273 3914 1 307 3651 1 607 4105 1 458 3269 1 270 3782 2 311 1 533 3332 2 2495 1 991 3573 1 376 3593 1 239 3682 1 259 3350 1 213 3380 2 1904 1 591 3512 1 845 3785 1 189 3335 1 817 3362 1 335 3288 2 3633 1 747 3586 2 4062 2 3812 1 487 3333 1 740 4002 1 847 3937 1 53...
output:
597472157
result:
ok single line: '597472157'
Test #10:
score: 20
Accepted
time: 8ms
memory: 50504kb
input:
5000 5000 2 2864 1 473 4676 2 858 2 2672 2 4473 2 800 2 3259 2 470 2 3859 2 2228 1 491 4536 1 700 4378 2 498 1 769 4837 1 80 4861 1 109 4201 1 908 4094 1 9 4706 2 1017 2 737 2 4155 1 270 4290 2 4434 2 1867 1 148 4119 1 299 4194 2 4076 2 1863 2 1570 2 4855 1 1000 4834 1 637 4827 2 1961 2 4518 1 811 4...
output:
251906928
result:
ok single line: '251906928'
Test #11:
score: 20
Accepted
time: 3ms
memory: 51840kb
input:
5000 5000 1 327 4388 1 768 4973 1 438 4243 1 288 4244 1 105 4460 1 862 4894 1 125 4611 1 934 4115 1 631 4349 1 635 4088 1 250 4629 1 873 4204 1 977 4296 1 391 4821 1 107 4589 1 86 4810 1 615 4072 1 221 4113 1 745 4771 1 806 4983 1 675 4334 1 709 4428 1 587 4180 1 494 4949 1 904 4253 1 901 4527 1 717...
output:
845230417
result:
ok single line: '845230417'
Test #12:
score: 20
Accepted
time: 11ms
memory: 51880kb
input:
5000 5000 1 902 4097 1 263 4218 1 502 4305 1 798 4433 1 392 4689 1 479 4006 1 518 4269 1 764 4295 1 48 4834 1 966 4574 1 374 4970 1 950 4925 1 54 4860 1 987 4144 1 448 4504 1 329 4838 1 734 4807 1 403 4387 1 275 4396 1 731 4769 1 206 4348 1 282 4258 1 676 4956 1 274 4943 1 892 4146 1 337 4962 1 798 ...
output:
678724707
result:
ok single line: '678724707'
Subtask #3:
score: 40
Accepted
Test #13:
score: 40
Accepted
time: 49ms
memory: 63472kb
input:
50000 50000 1 24367 33007 1 14396 42256 1 6375 22327 1 7892 42501 1 10100 37998 1 6284 48524 1 7357 18164 1 16200 46424 1 18972 34131 1 16849 32591 1 1917 3018 1 19897 30272 1 45044 45753 1 18999 25448 1 5167 31033 1 6182 35335 1 7270 37270 1 12651 39965 1 28896 38022 1 13853 35426 1 35516 48244 1 1...
output:
733099543
result:
ok single line: '733099543'
Test #14:
score: 40
Accepted
time: 53ms
memory: 62624kb
input:
49951 43686 1 21796 23464 1 29304 46959 1 5034 41719 1 7779 35334 1 27566 36486 1 20347 26165 1 12508 30387 1 18363 20335 1 8540 21417 1 5728 49086 1 46038 47603 1 10371 15910 1 27293 43572 1 18915 45279 1 7388 48342 1 6802 43746 1 4361 40049 1 41177 43375 1 23287 48354 1 37097 41733 1 2406 11638 1 ...
output:
792296531
result:
ok single line: '792296531'
Test #15:
score: 40
Accepted
time: 55ms
memory: 61128kb
input:
49914 43874 1 8935 40963 1 4425 44317 1 1769 45855 1 2436 40257 1 1778 47216 1 383 42149 1 5398 40732 1 1079 43346 1 6578 41660 1 9689 45985 1 6131 42681 1 8862 47431 1 3979 46189 1 6456 43485 1 2028 46574 1 3802 47787 1 6990 41659 1 9221 41204 1 2271 43554 1 8018 45280 1 9344 43917 1 6623 41152 1 7...
output:
831211412
result:
ok single line: '831211412'
Test #16:
score: 40
Accepted
time: 54ms
memory: 65512kb
input:
50000 50000 1 1310 49344 1 5755 44255 1 3582 41465 1 6800 42160 1 1651 44584 1 7967 44410 1 3116 48795 1 1855 41120 1 27 42294 1 2455 49629 1 4196 42487 1 7070 44542 1 136 42053 1 5715 44222 1 8794 43115 1 4048 45579 1 635 46703 1 9246 41055 1 3678 41276 1 4871 41715 1 1659 44679 1 1639 46392 1 2479...
output:
316801136
result:
ok single line: '316801136'
Test #17:
score: 40
Accepted
time: 56ms
memory: 63740kb
input:
50000 50000 1 8731 40028 1 6575 43815 1 9558 42476 1 7269 47567 1 6597 45567 1 7753 49129 1 9892 47319 1 9438 45710 1 8688 46209 1 75 43653 1 8918 44467 1 2751 43343 1 4433 45172 1 8062 40732 1 3342 41158 1 615 45475 1 7497 44843 1 9201 48262 1 3063 44796 1 9294 48709 1 382 46129 1 5935 48889 1 1195...
output:
680677335
result:
ok single line: '680677335'
Test #18:
score: 40
Accepted
time: 57ms
memory: 62636kb
input:
50000 50000 1 5934 20406 1 21982 32375 1 7064 32616 1 28419 47337 1 28379 31201 1 40915 47773 1 14903 35558 1 2825 43481 1 28451 29178 1 4872 24238 1 5487 6527 1 33950 35231 1 6301 27246 1 3825 16238 1 3823 46254 1 10988 36002 1 6447 8234 1 4758 20500 1 4816 33750 1 3332 3743 1 723 25813 1 6797 4955...
output:
211908161
result:
ok single line: '211908161'
Subtask #4:
score: 30
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Test #19:
score: 30
Accepted
time: 151ms
memory: 64328kb
input:
50000 50000 1 23820 35205 1 23204 28152 1 10968 38077 2 26347 1 34065 43744 2 6956 1 12386 31941 1 5586 8700 1 37329 37421 1 13872 49853 1 10054 40143 2 9721 1 3312 36213 1 11745 48452 2 27741 2 37848 2 2566 2 9714 1 38322 48081 2 25675 1 28940 35759 2 11908 1 21501 22242 1 22858 23827 1 13837 25563...
output:
963178931
result:
ok single line: '963178931'
Test #20:
score: 30
Accepted
time: 135ms
memory: 59228kb
input:
49844 49196 1 14456 32911 1 25807 25848 1 36273 38462 2 906 2 11834 2 1552 2 24305 1 25916 28701 2 15959 2 36578 1 4325 48457 1 25678 44301 2 9794 1 11656 20160 2 22873 2 44228 1 29465 40920 2 24618 2 5092 2 47096 1 8617 18389 1 35678 41207 1 12614 16730 2 23299 2 240 1 1980 46841 2 39602 1 2700 217...
output:
720301477
result:
ok single line: '720301477'
Test #21:
score: 30
Accepted
time: 126ms
memory: 57180kb
input:
40208 47419 1 3878 39147 2 40063 1 5302 30782 1 5676 36573 1 3071 31029 2 37839 1 19 34805 1 8302 36156 2 3219 1 3855 38334 2 28443 2 32961 1 7085 30246 2 26657 1 1197 39431 1 6522 37149 2 2160 1 7638 34260 1 7938 36825 2 31484 2 15343 1 4546 34945 1 8836 39829 2 14331 1 8469 34573 2 38079 1 2851 36...
output:
479455278
result:
ok single line: '479455278'
Test #22:
score: 30
Accepted
time: 132ms
memory: 64940kb
input:
50000 50000 2 13550 2 36223 2 43206 1 5510 47597 2 6104 2 25632 1 9207 49739 1 8081 48987 1 5850 49093 1 5202 40432 2 44451 1 4973 41354 2 47071 2 37601 1 22 47601 1 2915 47643 2 9535 2 30503 2 37084 1 9914 43003 2 36565 1 6144 45818 1 8675 48820 1 406 45803 2 21625 2 18503 2 34530 1 7996 46583 1 66...
output:
749830221
result:
ok single line: '749830221'
Test #23:
score: 30
Accepted
time: 144ms
memory: 61712kb
input:
50000 50000 2 13683 2 21410 2 44457 2 43166 2 12830 1 17939 27321 2 36727 1 27602 40953 2 18534 2 15927 2 38517 2 49434 2 41945 2 43511 2 2024 2 23862 2 24358 2 20120 2 28683 2 7467 2 35825 2 1214 2 46879 2 20156 2 6592 2 32224 2 181 1 27585 35166 2 6322 2 21685 2 46456 2 32309 2 10167 1 4022 29619 ...
output:
407055283
result:
ok single line: '407055283'
Test #24:
score: 30
Accepted
time: 92ms
memory: 67332kb
input:
50000 50000 1 3717 40186 1 9852 44874 1 3429 45225 1 6774 49357 1 2761 49086 1 4497 41804 1 6653 45983 1 8605 45746 1 3439 45258 1 4871 45925 1 8952 49447 1 4846 42095 1 4949 48806 1 5032 49881 1 9094 47754 1 6003 43829 1 1665 41735 1 2596 49349 1 4544 42951 1 8987 47280 1 4031 42116 1 9586 48466 1 ...
output:
257719259
result:
ok single line: '257719259'